Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3548/44,6179/237
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 3548,6179
Greatest Common Factor of Numerators i.e. GCF of 3548,6179 is 1 .
LCM of Denominators means LCM of 44,237 as per the given fractions.
LCM of 44,237 is 10428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3548,6179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3548
List of positive integer factors of 3548 that divides 3548 without a remainder.
1,2,4,887,1774,3548
Factors of 6179
List of positive integer factors of 6179 that divides 6179 without a remainder.
1,37,167,6179
Greatest Common Factor
We found the factors 3548,6179 . The biggest common factor number is the GCF number.
So the greatest common factor 3548,6179 is 1.
Lets's calculate LCM of 44,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 10428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10428
Therefore, the GCF of Fractions 3548/44,6179/237 is 1/10428
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 44,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,237) x common factors =1 x 1 = 1
LCM(44,237) = ( 44 × 237 ) / 1
LCM(44,237) = 10428 / 1
LCM(44,237) = 10428
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 3548/44, 6179/237?
Answer: GCF of Numerators as per given numbers 3548/44, 6179/237 is
GCF of Numerators i.e. for 3548,6179 is 1
LCM of denominators i.e. for 44,237 is 10428.
Thus, GCF of Fractions is 1/10428.Finally, GCF of Fractions for 3548/44, 6179/237 is 1/10428.